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Finding the Third Proportional to 20,145 and 43,493

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Solution

The third proportional to 20,145 and 43,493 is: 93,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145 : 43,493 = 43,493 : x
  2. Step 2: Convert to fraction form
    20,145/43,493 = 43,493/x
  3. Step 3: Cross multiply
    20,145x = 43,493 × 43,493
  4. Step 4: Simplify right side
    20,145x = 1,891,641,049
  5. Step 5: Solve for x
    x = 1,891,641,049/20,145
  6. Step 6: Final answer
    x = 93,901.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.